13143302531010 has 320 divisors, whose sum is σ = 38222269113600. Its totient is φ = 3229327139328.

The previous prime is 13143302531003. The next prime is 13143302531131. The reversal of 13143302531010 is 1013520334131.

13143302531010 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 330 + 2 + 5 + 310 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2664360504 + ... + 2664365436.

It is an arithmetic number, because the mean of its divisors is an integer number (119444590980).

Almost surely, 2^{13143302531010} is an apocalyptic number.

13143302531010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13143302531010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111134556800).

13143302531010 is an abundant number, since it is smaller than the sum of its proper divisors (25078966582590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13143302531010 is a wasteful number, since it uses less digits than its factorization.

13143302531010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13143302531010 its reverse (1013520334131), we get a palindrome (14156822865141).

The spelling of 13143302531010 in words is "thirteen trillion, one hundred forty-three billion, three hundred two million, five hundred thirty-one thousand, ten".